The percolation threshold of a diminishing Cayley tree and its relation to hopping conductivity
S Summerfield; P N Butcher; S Summerfield; Dept. of Phys., Univ. of Warwick, Coventry, UK; P N Butcher; Dept. of Phys., Univ. of Warwick, Coventry, UK
Журнал:
Journal of Physics C: Solid State Physics
Дата:
1981-07-20
Аннотация:
A numerical calculation is made of the critical percolation probability p<sub>c</sub> on a branching network in which the number of bonds emanating from a site decreases by unity for each step away from the origin. When the coordination number N of the origin is large the authors find that Np<sub>c</sub>=1.5. This result is at variance with the value of e suggested by a recent study of hopping conductivity in which the above lattice structure is assumed.
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